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Segment Watchman Routes
Malmö universitet, Fakulteten för teknik och samhälle (TS), Institutionen för datavetenskap och medieteknik (DVMT). Malmö universitet, Forskningscentrum för hållbar digitalisering (SDRC).ORCID-id: 0000-0002-2161-6571
The Open University of Israel, Israel.
Malmö universitet, Fakulteten för teknik och samhälle (TS), Institutionen för datavetenskap och medieteknik (DVMT). Malmö universitet, Forskningscentrum för hållbar digitalisering (SDRC).ORCID-id: 0000-0002-1342-8618
University of Kassel, Germany.
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2025 (engelsk)Inngår i: 41st European Workshop on Computational Geometry (EuroCG 2025: Booklet of Abstracts, 2025, artikkel-id 33Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

We consider a variant of the 2-watchmen problem that ensures that every point in a polygon P is seen from more than one direction: we search for routes W1, W2, such that for each p ∈ P there exist w1 ∈ W1, w2 ∈ W2 that see p and such that p ∈ w1w2 ⊂ P. We show that finding the two routes that are optimal with respect to the min-max criterion is NP-hard in simple polygons and present a 2-approximation algorithm for this case; moreover, we provide a polynomial-time algorithm for computing the two optimal routes with respect to the min-sum criterion in convex polygons. Finally, we discuss a generalized version of the problem with more than two watchmen.

sted, utgiver, år, opplag, sider
2025. artikkel-id 33
HSV kategori
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URN: urn:nbn:se:mau:diva-79435OAI: oai:DiVA.org:mau-79435DiVA, id: diva2:1997737
Konferanse
41st European Workshop on Computational Geometry, (EuroCG) April 9-11, 2025, Liblice
Tilgjengelig fra: 2025-09-14 Laget: 2025-09-14 Sist oppdatert: 2026-03-18bibliografisk kontrollert

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Brötzner, AnnaNilsson, Bengt J.

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Totalt: 244 treff
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